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Finding the Third Proportional to 618,917,617 and 925,925,661

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Solution

The third proportional to 618,917,617 and 925,925,661 is: 1,385,222,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,917,617 : 925,925,661 = 925,925,661 : x
  2. Step 2: Convert to fraction form
    618,917,617/925,925,661 = 925,925,661/x
  3. Step 3: Cross multiply
    618,917,617x = 925,925,661 × 925,925,661
  4. Step 4: Simplify right side
    618,917,617x = 857,338,329,698,286,976
  5. Step 5: Solve for x
    x = 857,338,329,698,286,976/618,917,617
  6. Step 6: Final answer
    x = 1,385,222,049.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.